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为了研究钢-混凝土连续组合箱梁自振特性,以哈密顿原理为基础,综合考虑连续组合箱梁剪力滞、滑移、剪切变形和转动惯量等多重因素的影响,推导出连续组合箱梁的控制微分方程及自然边界条件,提出一种能对工程中常用连续组合箱梁自振特性进行分析的计算方法。研究结果表明:构造的位移函数是正确和可靠的,所得计算公式比以往连续组合梁自振特性的计算理论有一定发展;界面滑移刚度对钢-混凝土连续组合箱梁自振频率影响很大,不能忽略;在剪力滞效应的作用下,连续组合箱梁的自振频率普遍减小,且剪力滞效应对连续组合箱梁自振频率的作用随频率阶次的升高而变大,随滑移刚度的增加而增大,当阶次较高且滑移刚度较大时,剪力滞效应的影响超过5.5%,不可忽视。
In order to study the natural vibration characteristics of steel-concrete continuous composite box girder, based on Hamilton principle, considering the influence of multiple factors such as shear lag, slip, shear deformation and moment of inertia of continuous composite box girder, Control differential equations and natural boundary conditions, a calculation method that can analyze the natural vibration characteristics of continuous composite box girders commonly used in engineering is proposed. The results show that the displacement function of the structure is correct and reliable, and the calculated formula has certain development compared with the calculation theory of the natural vibration of the continuous composite beam. The interface slip stiffness has a great influence on the natural frequency of the continuous composite box girder, and can not be neglected. Under the effect of shear lag effect, the natural frequency of continuous composite box girder decreases generally, and the effect of shear lag effect on the natural frequency of continuous composite box girder becomes larger with the increase of frequency order, Increasing and increasing. When the order is higher and the sliding stiffness is larger, the influence of shear lag effect exceeds 5.5%, which can not be neglected.